Suggestions for a problem yard?

[Tyler McDonald]

Hi all, I have a SFH with a backyard that is extremely shaded after years of tree growth behind the property. The trees are not encroaching on my property but they shade to the point that no grass will grow and consequently the yard is a sandy dirt pit which erodes every time it rains. Taking out trees or thinning is not an option so I am looking for a simple ground cover solution that won't require a bunch of TLC from the tenants. Mulch or pine straw ground cover are possible options but require ongoing expense to replenish. I'm also considering some sort of gravel that might be a one time application.

Looking for suggestions or thoughts anyone may have.  Thanks!